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电子论运动方程的一个严格解
引用本文:刘键恒,张鹏飞,阮图南,井思聪,何多慧. 电子论运动方程的一个严格解[J]. 中国科学技术大学学报, 2007, 37(4): 471-474
作者姓名:刘键恒  张鹏飞  阮图南  井思聪  何多慧
作者单位:中国科学技术大学,安徽合肥,230029;中国高等科学技术中心,北京,100080
基金项目:国家重点基础研究发展计划(973计划);国家自然科学基金;国家自然科学基金
摘    要:严格求解了由Moniz和Sharp导出的非相对论经典电子方程.结果表明当电子半径大于一个临界长度时,方程的解表现出良好的性质,不会出现奔离和预加速的现象.这个特定的长度也是对经典电动力学适用范围的一个粗略估计.

关 键 词:经典电动力学  电子论  运动方程  严格解
文章编号:0253-2778(2007)04&05-0471-04
修稿时间:2006-12-252007-04-12

Exact solution of the classical equation of an extended charged particle
LIU Jian-heng,ZHANG Peng-fei,RUAN Tu-nan,JING Si-cong,HE Duo-hui. Exact solution of the classical equation of an extended charged particle[J]. Journal of University of Science and Technology of China, 2007, 37(4): 471-474
Authors:LIU Jian-heng  ZHANG Peng-fei  RUAN Tu-nan  JING Si-cong  HE Duo-hui
Affiliation:1. University of Science and Technology of China, He f ei 230029, China; 2. China Center of Advanced Science and Technology (World Laboratory
Abstract:Following the article of Moniz and Sharp, the non-relativistic equation they proposed was rigorously solved. It is shown that when the radius of the electron is greater than a critical length, the behavior of the solution is fine, no run-away and pre-acceleration appears. This specific length can be regarded as a rough evaluation of applicable range of classical electrodynamics.
Keywords:classical electrodynamics   electron theory   equation of motion   exact solution
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